In SM64 this covering space structure is used by giving Mario extremely high velocity \(v\) (a tangent vector at Marios position in \(P\)) through a different glitch called “backwards longjump”. The exponential map is then used to move Mario along the geodesic \(\exp_v(t)\) for \(t \in \mathbb{R}\). But due to hardware limitations, only discrete steps \(t_1, \dots, t_k\) for some \(k \in \mathbb{N}\) of this geodesic are actually calculated for collision detection. More on how this is related to the exponential map of Lie groups can be found in my previous post. Throughout this post, I will assume the Lie group of SM64 to have its unit at the position \(p\).
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双登已经实现了初步跨越,但前方的道路依然漫长。当越来越多的竞争者涌入人工智能数据中心储能赛道,当人工智能算力投资的浪潮逐渐平息,储能行业终将面对一个根本性的诘问:究竟是在为人工智能产业提供配套,还是在构建自身可持续的商业模式?这份年报所提供的答案,远非最终定论。
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